Differential graphical games for H-infinity control of linear heterogeneous multiagent systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00335491" target="_blank" >RIV/68407700:21230/19:00335491 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/rnc.4538" target="_blank" >https://doi.org/10.1002/rnc.4538</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/rnc.4538" target="_blank" >10.1002/rnc.4538</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Differential graphical games for H-infinity control of linear heterogeneous multiagent systems

Popis výsledku v původním jazyce

Differential graphical games have been introduced in the literature to solve state synchronization problem for linear homogeneous agents. When the agents are heterogeneous, the previous notion of graphical games cannot be used anymore and a new definition is required. In this paper, we define a novel concept of differential graphical games for linear heterogeneous agents subject to external unmodeled disturbances, which contain the previously introduced graphical game for homogeneous agents as a special case. Using our new formulation, we can solve both the output regulation and H-infinity output regulation problems. Our graphical game framework yields coupled Hamilton-Jacobi-Bellman equations, which are, in general, impossible to solve analytically. Therefore, we propose a new actor-critic algorithm to solve these coupled equations numerically in real time. Moreover, we find an explicit upper bound for the overall L2-gain of the output synchronization error with respect to disturbance. We demonstrate our developments by a simulation example.

Název v anglickém jazyce

Differential graphical games for H-infinity control of linear heterogeneous multiagent systems

Popis výsledku anglicky

Differential graphical games have been introduced in the literature to solve state synchronization problem for linear homogeneous agents. When the agents are heterogeneous, the previous notion of graphical games cannot be used anymore and a new definition is required. In this paper, we define a novel concept of differential graphical games for linear heterogeneous agents subject to external unmodeled disturbances, which contain the previously introduced graphical game for homogeneous agents as a special case. Using our new formulation, we can solve both the output regulation and H-infinity output regulation problems. Our graphical game framework yields coupled Hamilton-Jacobi-Bellman equations, which are, in general, impossible to solve analytically. Therefore, we propose a new actor-critic algorithm to solve these coupled equations numerically in real time. Moreover, we find an explicit upper bound for the overall L2-gain of the output synchronization error with respect to disturbance. We demonstrate our developments by a simulation example.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20205 - Automation and control systems

Projekt

<a href="/cs/project/GJ16-25493Y" target="_blank" >GJ16-25493Y: Použití kooperativních distribuovaných multiagentních systémů pro odhadování a řízení systémů s rozprostřenými parametry</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

International Journal of Robust and Nonlinear Control

ISSN

1049-8923

e-ISSN

1099-1239

Svazek periodika

29

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

19

Strana od-do

2995-3013

Kód UT WoS článku

000470837300014

EID výsledku v databázi Scopus

2-s2.0-85063694725